1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad [161]
3 years ago
12

Find a formula for the inverse of the function f(x)=3x^3 + 2sinx + 4cosx

Mathematics
1 answer:
vitfil [10]3 years ago
5 0
Explicit Functiony = f(x) is said to define y explicitly as a function of x because the variable y appears alone on one side of the equation and does not appear at all on the other side. (ex. y = -3x + 5)Implicit FunctionAn equation in which y is not alone on one side. (ex. 3x + y = 5)Implicit DifferentiationGiven a relation of x and y, find dy/dx algebraically.d/dx ln(x)1/xd/dx logb(x) (base b)1/xln(b)d/dx ln(u)1/u × du/dxd/dx logb(u) (base b)1/uln(b) × du/dx(f⁻¹)'(x) = 1/(f'(f⁻¹(x))) iff is a differentiable and one-to-one functiondy/dx = 1/(dx/dy) ify = is a differentiable and one-to-one functiond/dx (b∧x)b∧x × ln(b)d/dx e∧xe∧xd/dx (b∧u)b∧u × ln(b) du/dxd/dx (e∧u)e∧u du/dxDerivatives of inverse trig functionsStrategy for Solving Related Rates Problems<span>1. Assign letters to all quantities that vary with time and any others that seem relevant to the problem. Give a definition for each letter.

2. Identify the rates of change that are known and the rate of change that is to be found. Interpret each rate as a derivative.

3. Find an equation that relates the variables whose rates of change were identified in Step 2. To do this, it will often be helpful to draw an appropriately labeled figure that illustrates the relationship.

4. Differentiate both sides of the equation obtained in Step 3 with respect to time to produce a relationship between the known rates of change and the unknown rate of change.

5. After completing Step 4, substitute all known values for the rates of change and the variables, and then solve for the unknown rate of change.</span>Local Linear Approximation formula<span>f(x) ≈ f(x₀) + f'(x₀)(x - x₀)
f(x₀ + ∆x) ≈ f(x₀) + f'(x₀)∆x when ∆x = x - x₀</span>Local Linear Approximation from the Differential Point of View∆y ≈ f'(x)dx = dyError Propagation Variables<span>x₀ is the exact value of the quantity being measured
y₀ = f(x₀) is the exact value of the quantity being computed
x is the measured value of x₀
y = f(x) is the computed value of y</span>L'Hopital's RuleApplying L'Hopital's Rule<span>1. Check that the limit of f(x)/g(x) is an indeterminate form of type 0/0.
2. Differentiate f and g separately.
3. Find the limit of f'(x)/g'(x). If the limit is finite, +∞, or -∞, then it is equal to the limit of f(x)/g(x).</span>
You might be interested in
Leedle Leedle Leedle
Alla [95]
Hmmmm yes quite quite
3 0
3 years ago
Read 2 more answers
Are my answers correct
lyudmila [28]
Yes your answers look correct nice job
3 0
3 years ago
Read 2 more answers
Suppose you pay $24 for a video game that has been discounted 25%. What is the original price of the video game? Show how you id
suter [353]

it was 30 dollars, basically 5 dollars off

7 0
3 years ago
Solve the product of seven and a number plus four is 18
IrinaVladis [17]

Answer:

the missing number is 2

Step-by-step explanation:

convert to a equation

7x + 4 = 18

subtract 4 from both sides: 7x = 14

divide both sides by 7: x = 2

the missing number is 2

6 0
2 years ago
Read 2 more answers
A college graduate expects to earn a salary of 60000 during the first year after graduation and receive a 4% raise every year af
guapka [62]

So, there is an exponential growth formula you use.

First, write the initial cost which is

60,000

Then write 1+ the percentage of growth rate which is 0.04 percent. Then, right the time as an exponent after certain amount of years.

60,000(1+0.04)^10

60,000(1.04)^10

Plug this in a calculator

it should be 88814.6571

I hope this helps.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 n
    13·2 answers
  • For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; c
    5·2 answers
  • Please help I will give you more points and brainlest!!!
    9·2 answers
  • Use the ratio table to solve the percent problem.<br><br><br> What percent is 12 out of 20?
    10·2 answers
  • Find the distance between A (6, -1) and B ( -18, 15)
    6·2 answers
  • Not a question but thamks for helping
    10·2 answers
  • In which of the expressions below will x = 2.5? Select all that apply. A) 10x+209=5 B) 10x–12=38 C) 9x+18=45 D) 6x=15 E) 12x–4=2
    15·1 answer
  • Natasha rode her
    15·2 answers
  • What is the distance from X to Y?
    12·1 answer
  • A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapl
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!